At very high frequencies,the effective impedance of the given circuit will be $.... \Omega$.

When an inductor of inductance $L = \frac{6}{\pi} \ H$, a capacitor of capacitance $C = \frac{50}{\pi} \ \mu F$ and a resistor of resistance $R$ are connected in series with an $AC$ supply of rms voltage $V_{rms} = 220 \ V$ and frequency $f = 50 \ Hz$, the rms current through the circuit is $I_{rms} = 440 \ mA$. Match the inductive reactance $X_L$, the capacitive reactance $X_C$, the resistance $R$, and the impedance $Z$ of the circuit given in List-$I$ with the corresponding values given in List-$II$.

List-$I$	List-$II$
$(A) \ X_L$	$(i) \ 200 \ \Omega$
$(B) \ X_C$	$(ii) \ 300 \ \Omega$
$(C) \ R$	$(iii) \ 500 \ \Omega$
$(D) \ Z$	$(iv) \ 600 \ \Omega$

$A$ $ 100 \,W $ bulb is connected to an $ AC $ source of $ 220 \,V, 50 \,Hz $. Then the current flowing through the bulb is

An $AC$ voltmeter connected between points $A$ and $B$ in the circuit below reads $36 \,V$. If it is connected between $A$ and $C$,the reading is $39 \,V$. The reading when it is connected between $B$ and $D$ is $25 \,V$. What is the reading when it is connected between $A$ and $D$? (Assume that the voltmeter reads true $rms$ voltage values and that the source generates a pure $AC$.)

An alternating power supply of $220 \,V$ is applied across a series circuit of resistance $10 \sqrt{3} \,\Omega$,capacitive reactance $40 \,\Omega$,and inductive reactance $30 \,\Omega$. The respective currents in the circuit for zero and infinite frequencies are

$L$,$C$,and $R$ denote inductance,capacitance,and resistance respectively. Pick out the combination which does not have the dimensions of frequency.